List questions from elementary-set-theory | MathQa

(Dis-)proving statements about sets

Published on 12 Jan 2025 - 19:22

Proof of sets A and B involving set theory, showing: $(B^c - AB)^c = B$

Published on 12 Jan 2025 - 19:18

Proving $A \cap (B-A) = \emptyset$ (new to proofs!)

Published on 12 Jan 2025 - 19:15

Let $A, B ,C$ be sets. Prove that $(A-B) - C = (A - C) - (B - C)$

Published on 12 Jan 2025 - 19:21

What are all the finite transitive sets?

Published on 12 Jan 2025 - 19:23

How can I prove that these two sets are equal?

Published on 12 Jan 2025 - 19:16

$A, B$ and $C$ are sets with $A\times B=A\times C$. For which sets $A$ it follows $B=C$?

Published on 12 Jan 2025 - 19:17

Can a relation be both symmetric and antisymmetric; or neither?

Published on 12 Jan 2025 - 19:18

Providing counterexamples to the claim: If $|A \cap B| < |A|$ then $|A|>|B|$

Published on 12 Jan 2025 - 19:16

Prove that if $|S| \ge 2^{n−1} + 1$, then $S$ contains two elements which are disjoint from each other.

Published on 12 Jan 2025 - 19:14